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### Course Content  ### Matrix and Determinant

A square matrix all of whose elements except the main diagonal are zeros is called a

null matrix
singular matrix
diagonal matrix
symmetric matrix

Square matrix A for which At = -A is called

identity matrix
hermitian matrix
symmetric matrix
skew-hermitian matrix

The transpose of a column matrix is a :

null matrix
row matrix
scalar matrix
column matrix

This matrix is a $\left[\begin{array}{ccc}6& 0& 0\\ 0& 1& 0\\ 0& 0& 6\end{array}\right]$

scalar matrix
identity matrix
diagonal matrix
triangular matrix

A matrix whose each element is zero is called a :

null matrix
scalar matrix
identity matrix
symmetric matrix

The transpose of a square matrix is a :

null matrix
row matrix
square matrix
column matrix

This matrix is $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

unit matrix
null matrix
triangular matrix
rectangular matrix

This matrix is a _______
$\left[\begin{array}{c}1\\ 2\\ 3\end{array}\right]$

null matrix
zero matrix
scalar matrix
column matrix

Matrices are represented by :

small letters
real numbers
capital letters
natural numbers

The determinant of identity matrix is :

1
0
Depends on the matrix
None of the mentioned

The order of a matrix [2 5 7] is

3 x 3
1 x 1
3 x 1
1 x 3

If A is a symmetric matrix, Then At =

A
|A|
0
diagonal Matrix

For any non singular matrix A, A-1

None of above

[a b c] is a

Zero Matrix
Diagonal Matrix
Column Matrix
Row Matrix

The transpose of a square matrix is a

rectangular matrix
Diagonal Matrix
Square Matrix
Scaler Matrix

The transpose of a column matrix is

Zero Matrix
Diagonal Matrix
Column Matrix
Row Matrix

The transpose of a rectangular matrix is a

rectangular matrix
diagonal matrix
square matrix
scaler matrix

Matrices obtained by chainging row and columns is called

Rectangular Matrix
Transpose
Symetric
None of Above

A Matrix having m rows and n columns with m = n is said to be a

Rectangular Matrix
Square Matrix
Identity Matrix
Scaler Matrix

The additive inverse of a matrix A is

A
|A|
A2

If |A| = 0, then A is

Zero Matrix
Singular Matrix
Non Singular Matrix
0

In a matrix multiplication for A and B, (AB)t

AtBt
BtAt
1/AB
AB

If AB exists, Then (AB)-1 is

A-1B-1
B-1A-1
AB
None of the Above

Equations having a common solution are called

Linear equations
Homogeneous equations
Simultaneous Equation
None of the above

Two matrices A and B are multiplied to get AB if

both are rectangular
both have same order
no of columns of A is equal to columns of B
no of rows of A is equal to no of columns of B

If |A| = 0, then A is

zero matrix
singular matrix
non-singular matrix
0

If A is a symmetric matrix, then At =

A
|A|
0
diagonal matrix

If A is a matrix of order m x n and B is a matrix of order n x p then order of AB is

p x m
p x n
n x p
m x p

If |A| ≠ 0, then A is

zero matrix
singular matrix
non - singular matrix
diagonal matrix

If A is a skew symmetric matrix, then At

-A
A
0
diagonal Matrix I there is